46461353040 has 120 divisors (see below), whose sum is σ = 158677477920. Its totient is φ = 12179688192.

The previous prime is 46461353017. The next prime is 46461353041. The reversal of 46461353040 is 4035316464.

46461353040 is a `hidden beast` number, since 4 + 6 + 4 + 613 + 5 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 46461352986 and 46461353004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46461353041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504382 + ... + 589341.

It is an arithmetic number, because the mean of its divisors is an integer number (1322312316).

Almost surely, 2^46461353040 is an apocalyptic number.

46461353040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46461353040 is an abundant number, since it is smaller than the sum of its proper divisors (112216124880).

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

46461353040 is a wasteful number, since it uses less digits than its factorization.

46461353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093801 (or 1093792 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

It can be divided in two parts, 464613 and 53040, that added together give a triangular number (517653 = T₁₀₁₇).

The spelling of 46461353040 in words is "forty-six billion, four hundred sixty-one million, three hundred fifty-three thousand, forty".