401536287694080 has 6912 divisors, whose sum is σ = 1951697276928000. Its totient is φ = 77261261045760.

The previous prime is 401536287694007. The next prime is 401536287694081. The reversal of 401536287694080 is 80496782635104.

401536287694080 is a `hidden beast` number, since 4 + 0 + 1 + 536 + 2 + 8 + 7 + 6 + 94 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×401536287694080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 401536287693999 and 401536287694017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401536287694081) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2017770289821 + ... + 2017770290019.

It is a 1-persistent number, because it is pandigital, but 2⋅401536287694080 = 803072575388160 is not.

Almost surely, 2^{401536287694080} is an apocalyptic number.

401536287694080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401536287694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975848638464000).

401536287694080 is an abundant number, since it is smaller than the sum of its proper divisors (1550160989233920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401536287694080 is a wasteful number, since it uses less digits than its factorization.

401536287694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 401536287694080 in words is "four hundred one trillion, five hundred thirty-six billion, two hundred eighty-seven million, six hundred ninety-four thousand, eighty".