461523576143040 has 224 divisors, whose sum is σ = 1497587816786880. Its totient is φ = 120386547302400.

The previous prime is 461523576143039. The next prime is 461523576143087. The reversal of 461523576143040 is 40341675325164.

It is a super-2 number, since 2×461523576143040² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11171935 + ... + 32370654.

It is an arithmetic number, because the mean of its divisors is an integer number (6685659896370).

Almost surely, 2^{461523576143040} is an apocalyptic number.

461523576143040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461523576143040 is an abundant number, since it is smaller than the sum of its proper divisors (1036064240643840).

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

461523576143040 is a wasteful number, since it uses less digits than its factorization.

461523576143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43542851 (or 43542841 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 461523576143040 in words is "four hundred sixty-one trillion, five hundred twenty-three billion, five hundred seventy-six million, one hundred forty-three thousand, forty".