401812669440 has 1848 divisors, whose sum is σ = 1821130499160. Its totient is φ = 84778057728.

The previous prime is 401812669411. The next prime is 401812669459. The reversal of 401812669440 is 44966218104.

401812669440 is a `hidden beast` number, since 4 + 0 + 181 + 26 + 6 + 9 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 149824733184 + 251987936256 = 387072^2 + 501984^2 .

It is a super-2 number, since 2×401812669440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 30908666874 + ... + 30908666886.

Almost surely, 2^401812669440 is an apocalyptic number.

401812669440 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 401812669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910565249580).

401812669440 is an abundant number, since it is smaller than the sum of its proper divisors (1419317829720).

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

401812669440 is an frugal number, since it uses more digits than its factorization.

401812669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 401812669440 in words is "four hundred one billion, eight hundred twelve million, six hundred sixty-nine thousand, four hundred forty".