401428431040 has 1344 divisors, whose sum is σ = 1365455232000. Its totient is φ = 111588212736.

The previous prime is 401428431029. The next prime is 401428431071. The reversal of 401428431040 is 40134824104.

It is a super-2 number, since 2×401428431040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401428430993 and 401428431011.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5991469087 + ... + 5991469153.

Almost surely, 2^401428431040 is an apocalyptic number.

401428431040 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 401428431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682727616000).

401428431040 is an abundant number, since it is smaller than the sum of its proper divisors (964026800960).

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

401428431040 is a wasteful number, since it uses less digits than its factorization.

401428431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 401428431040 in words is "four hundred one billion, four hundred twenty-eight million, four hundred thirty-one thousand, forty".