401394299904 has 440 divisors, whose sum is σ = 1325864548008. Its totient is φ = 120155996160.

The previous prime is 401394299903. The next prime is 401394299927. The reversal of 401394299904 is 409992493104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 79496930304 + 321897369600 = 281952^2 + 567360^2 .

It is a super-2 number, since 2×401394299904² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401394299903) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39891034 + ... + 39901094.

Almost surely, 2^401394299904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401394299904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662932274004).

401394299904 is an abundant number, since it is smaller than the sum of its proper divisors (924470248104).

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

401394299904 is a wasteful number, since it uses less digits than its factorization.

401394299904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10143 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 401394299904 in words is "four hundred one billion, three hundred ninety-four million, two hundred ninety-nine thousand, nine hundred four".