641655534144240 has 1920 divisors, whose sum is σ = 2803133099999232. Its totient is φ = 132519134453760.

The previous prime is 641655534144227. The next prime is 641655534144293. The reversal of 641655534144240 is 42441435556146.

641655534144240 is a `hidden beast` number, since 6 + 4 + 1 + 6 + 5 + 55 + 341 + 4 + 4 + 240 = 666.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 286070232559 + ... + 286070234801.

Almost surely, 2^{641655534144240} is an apocalyptic number.

641655534144240 is a gapful number since it is divisible by the number (60) 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 641655534144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401566549999616).

641655534144240 is an abundant number, since it is smaller than the sum of its proper divisors (2161477565854992).

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

641655534144240 is a wasteful number, since it uses less digits than its factorization.

641655534144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 641655534144240 in words is "six hundred forty-one trillion, six hundred fifty-five billion, five hundred thirty-four million, one hundred forty-four thousand, two hundred forty".