461612020501440 has 336 divisors, whose sum is σ = 1651679164605600. Its totient is φ = 118187850031104.

The previous prime is 461612020501427. The next prime is 461612020501453. The reversal of 461612020501440 is 44105020216164.

461612020501440 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 1 + 2 + 0 + 205 + 0 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (461612020501427) and next prime (461612020501453).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 461612020501395 and 461612020501404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488367 + ... + 30388526.

Almost surely, 2^{461612020501440} is an apocalyptic number.

461612020501440 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 461612020501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825839582302800).

461612020501440 is an abundant number, since it is smaller than the sum of its proper divisors (1190067144104160).

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

461612020501440 is a wasteful number, since it uses less digits than its factorization.

461612020501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30877124 (or 30877111 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 461612020501440 in words is "four hundred sixty-one trillion, six hundred twelve billion, twenty million, five hundred one thousand, four hundred forty".