46042629120 has 528 divisors, whose sum is σ = 172745838720. Its totient is φ = 11736907776.

The previous prime is 46042629107. The next prime is 46042629137. The reversal of 46042629120 is 2192624064.

46042629120 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 2 + 629 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28614876 + ... + 28616484.

Almost surely, 2^46042629120 is an apocalyptic number.

46042629120 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 46042629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86372919360).

46042629120 is an abundant number, since it is smaller than the sum of its proper divisors (126703209600).

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

46042629120 is a wasteful number, since it uses less digits than its factorization.

46042629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 46042629120 in words is "forty-six billion, forty-two million, six hundred twenty-nine thousand, one hundred twenty".