401953083840 has 1344 divisors, whose sum is σ = 1787074099200. Its totient is φ = 82188288000.

The previous prime is 401953083817. The next prime is 401953083859. The reversal of 401953083840 is 48380359104.

401953083840 is a `hidden beast` number, since 40 + 1 + 9 + 530 + 8 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 771502780 + ... + 771503300.

Almost surely, 2^401953083840 is an apocalyptic number.

401953083840 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 401953083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893537049600).

401953083840 is an abundant number, since it is smaller than the sum of its proper divisors (1385121015360).

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

401953083840 is a wasteful number, since it uses less digits than its factorization.

401953083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 401953083840 in words is "four hundred one billion, nine hundred fifty-three million, eighty-three thousand, eight hundred forty".