401257463040 has 576 divisors, whose sum is σ = 1647492779520. Its totient is φ = 91711512576.

The previous prime is 401257463029. The next prime is 401257463107. The reversal of 401257463040 is 40364752104.

401257463040 is a `hidden beast` number, since 4 + 0 + 12 + 5 + 7 + 4 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×401257463040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 401257462986 and 401257463004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19585282 + ... + 19605758.

It is an arithmetic number, because the mean of its divisors is an integer number (2860230520).

Almost surely, 2^401257463040 is an apocalyptic number.

401257463040 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 401257463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823746389760).

401257463040 is an abundant number, since it is smaller than the sum of its proper divisors (1246235316480).

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

401257463040 is an frugal number, since it uses more digits than its factorization.

401257463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20526 (or 20494 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 401257463040 in words is "four hundred one billion, two hundred fifty-seven million, four hundred sixty-three thousand, forty".