401390359200 has 288 divisors, whose sum is σ = 1537090369920. Its totient is φ = 100741017600.

The previous prime is 401390359189. The next prime is 401390359207. The reversal of 401390359200 is 2953093104.

It is a happy number.

401390359200 is a `hidden beast` number, since 4 + 0 + 13 + 90 + 359 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×401390359200² (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 not an unprimeable number, because it can be changed into a prime (401390359207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179356 + ... + 913755.

It is an arithmetic number, because the mean of its divisors is an integer number (5337119340).

Almost surely, 2^401390359200 is an apocalyptic number.

401390359200 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 401390359200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768545184960).

401390359200 is an abundant number, since it is smaller than the sum of its proper divisors (1135700010720).

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

401390359200 is a wasteful number, since it uses less digits than its factorization.

401390359200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093157 (or 1093138 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 401390359200 in words is "four hundred one billion, three hundred ninety million, three hundred fifty-nine thousand, two hundred".