401950379587680 has 1920 divisors, whose sum is σ = 1821585796208640. Its totient is φ = 81031961640960.

The previous prime is 401950379587609. The next prime is 401950379587703. The reversal of 401950379587680 is 86785973059104.

401950379587680 is a `hidden beast` number, since 4 + 0 + 1 + 9 + 5 + 0 + 37 + 9 + 587 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 401950379587599 and 401950379587608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13033817701 + ... + 13033848539.

It is an arithmetic number, because the mean of its divisors is an integer number (948742602192).

Almost surely, 2^{401950379587680} is an apocalyptic number.

401950379587680 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 401950379587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910792898104320).

401950379587680 is an abundant number, since it is smaller than the sum of its proper divisors (1419635416620960).

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

401950379587680 is a wasteful number, since it uses less digits than its factorization.

401950379587680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31274 (or 31257 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 401950379587680 in words is "four hundred one trillion, nine hundred fifty billion, three hundred seventy-nine million, five hundred eighty-seven thousand, six hundred eighty".