401327519040 has 672 divisors, whose sum is σ = 1686765150720. Its totient is φ = 85490270208.

The previous prime is 401327519029. The next prime is 401327519071. The reversal of 401327519040 is 40915723104.

401327519040 is a `hidden beast` number, since 4 + 0 + 132 + 7 + 519 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×401327519040² (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 = 401327518986 and 401327519004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35294476 + ... + 35305844.

Almost surely, 2^401327519040 is an apocalyptic number.

401327519040 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 401327519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843382575360).

401327519040 is an abundant number, since it is smaller than the sum of its proper divisors (1285437631680).

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

401327519040 is a wasteful number, since it uses less digits than its factorization.

401327519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11519 (or 11506 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 401327519040 in words is "four hundred one billion, three hundred twenty-seven million, five hundred nineteen thousand, forty".