461626793280000 has 3200 divisors, whose sum is σ = 1825298853396480. Its totient is φ = 114960384000000.

The previous prime is 461626793279983. The next prime is 461626793280067. The reversal of 461626793280000 is 82397626164.

461626793280000 is a `hidden beast` number, since 4 + 6 + 1 + 626 + 7 + 9 + 3 + 2 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1394642879835 + ... + 1394642880165.

Almost surely, 2^{461626793280000} is an apocalyptic number.

461626793280000 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 461626793280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912649426698240).

461626793280000 is an abundant number, since it is smaller than the sum of its proper divisors (1363672060116480).

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

461626793280000 is a wasteful number, since it uses less digits than its factorization.

461626793280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 461626793280000 in words is "four hundred sixty-one trillion, six hundred twenty-six billion, seven hundred ninety-three million, two hundred eighty thousand".