641432250317040 has 320 divisors, whose sum is σ = 2453602059417600. Its totient is φ = 134987249037312.

The previous prime is 641432250317029. The next prime is 641432250317041. The reversal of 641432250317040 is 40713052234146.

It is a super-2 number, since 2×641432250317040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 641432250316983 and 641432250317001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641432250317041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29254380 + ... + 46245899.

It is an arithmetic number, because the mean of its divisors is an integer number (7667506435680).

Almost surely, 2^{641432250317040} is an apocalyptic number.

641432250317040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

641432250317040 is an abundant number, since it is smaller than the sum of its proper divisors (1812169809100560).

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

641432250317040 is a wasteful number, since it uses less digits than its factorization.

641432250317040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75500704 (or 75500698 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 641432250317040 in words is "six hundred forty-one trillion, four hundred thirty-two billion, two hundred fifty million, three hundred seventeen thousand, forty".