401723914083840 has 1920 divisors, whose sum is σ = 1552883060551680. Its totient is φ = 95460806098944.

The previous prime is 401723914083829. The next prime is 401723914083883. The reversal of 401723914083840 is 48380419327104.

401723914083840 is a `hidden beast` number, since 4 + 0 + 1 + 72 + 3 + 91 + 408 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×401723914083840² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 620902494397 + ... + 620902495043.

It is an arithmetic number, because the mean of its divisors is an integer number (808793260704).

Almost surely, 2^{401723914083840} is an apocalyptic number.

401723914083840 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 401723914083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776441530275840).

401723914083840 is an abundant number, since it is smaller than the sum of its proper divisors (1151159146467840).

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

401723914083840 is a wasteful number, since it uses less digits than its factorization.

401723914083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 401723914083840 in words is "four hundred one trillion, seven hundred twenty-three billion, nine hundred fourteen million, eighty-three thousand, eight hundred forty".