401505876040 has 16 divisors (see below), whose sum is σ = 903388221180. Its totient is φ = 160602350400.

The previous prime is 401505876017. The next prime is 401505876091. The reversal of 401505876040 is 40678505104.

It can be written as a sum of positive squares in 2 ways, for example, as 376846198884 + 24659677156 = 613878^2 + 157034^2 .

It is a super-2 number, since 2×401505876040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 10037646901 = 401505876040 / (4 + 0 + 1 + 5 + 0 + 5 + 8 + 7 + 6 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 401505875984 and 401505876002.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5018823411 + ... + 5018823490.

Almost surely, 2^401505876040 is an apocalyptic number.

401505876040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401505876040 is an abundant number, since it is smaller than the sum of its proper divisors (501882345140).

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

401505876040 is a wasteful number, since it uses less digits than its factorization.

401505876040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10037646912 (or 10037646908 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 401505876040 in words is "four hundred one billion, five hundred five million, eight hundred seventy-six thousand, forty".