46003077120 has 1440 divisors, whose sum is σ = 210858004224. Its totient is φ = 8304721920.

The previous prime is 46003077091. The next prime is 46003077143. The reversal of 46003077120 is 2177030064.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2706063352 + ... + 2706063368.

Almost surely, 2^46003077120 is an apocalyptic number.

46003077120 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 46003077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105429002112).

46003077120 is an abundant number, since it is smaller than the sum of its proper divisors (164854927104).

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

46003077120 is a wasteful number, since it uses less digits than its factorization.

46003077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 46003077120 in words is "forty-six billion, three million, seventy-seven thousand, one hundred twenty".