401077661600 has 864 divisors, whose sum is σ = 1332816944256. Its totient is φ = 116237721600.

The previous prime is 401077661507. The next prime is 401077661629. The reversal of 401077661600 is 6166770104.

It is a super-2 number, since 2×401077661600² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 366950654 + ... + 366951746.

It is an arithmetic number, because the mean of its divisors is an integer number (1542612204).

Almost surely, 2^401077661600 is an apocalyptic number.

401077661600 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 401077661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666408472128).

401077661600 is an abundant number, since it is smaller than the sum of its proper divisors (931739282656).

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

401077661600 is a wasteful number, since it uses less digits than its factorization.

401077661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 401077661600 in words is "four hundred one billion, seventy-seven million, six hundred sixty-one thousand, six hundred".