401659373376 has 336 divisors, whose sum is σ = 1206164703744. Its totient is φ = 132523070976.

The previous prime is 401659373359. The next prime is 401659373441. The reversal of 401659373376 is 673373956104.

It is a happy number.

401659373376 is a `hidden beast` number, since 4 + 0 + 16 + 593 + 7 + 3 + 37 + 6 = 666.

It is a super-2 number, since 2×401659373376² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1157519635 + ... + 1157519981.

It is an arithmetic number, because the mean of its divisors is an integer number (3589775904).

Almost surely, 2^401659373376 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 401659373376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603082351872).

401659373376 is an abundant number, since it is smaller than the sum of its proper divisors (804505330368).

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

401659373376 is a wasteful number, since it uses less digits than its factorization.

401659373376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 401659373376 in words is "four hundred one billion, six hundred fifty-nine million, three hundred seventy-three thousand, three hundred seventy-six".