401156017600 has 336 divisors, whose sum is σ = 1134545384448. Its totient is φ = 138293084160.

The previous prime is 401156017597. The next prime is 401156017621. The reversal of 401156017600 is 6710651104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44902734 + ... + 44911666.

It is an arithmetic number, because the mean of its divisors is an integer number (3376623168).

Almost surely, 2^401156017600 is an apocalyptic number.

401156017600 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 401156017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567272692224).

401156017600 is an abundant number, since it is smaller than the sum of its proper divisors (733389366848).

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

401156017600 is a wasteful number, since it uses less digits than its factorization.

401156017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9112 (or 9097 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 401156017600 its reverse (6710651104), we get a palindrome (407866668704).

The spelling of 401156017600 in words is "four hundred one billion, one hundred fifty-six million, seventeen thousand, six hundred".