461134003440 has 80 divisors (see below), whose sum is σ = 1559471366016. Its totient is φ = 111790060800.

The previous prime is 461134003427. The next prime is 461134003441. The reversal of 461134003440 is 44300431164.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 461134003398 and 461134003407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461134003441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87333346 + ... + 87338625.

Almost surely, 2^461134003440 is an apocalyptic number.

461134003440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461134003440 is an abundant number, since it is smaller than the sum of its proper divisors (1098337362576).

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

461134003440 is a wasteful number, since it uses less digits than its factorization.

461134003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174671998 (or 174671992 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 461134003440 in words is "four hundred sixty-one billion, one hundred thirty-four million, three thousand, four hundred forty".