45930042126720 has 768 divisors, whose sum is σ = 169198533504000. Its totient is φ = 11898887454720.

The previous prime is 45930042126713. The next prime is 45930042126767. The reversal of 45930042126720 is 2762124003954.

45930042126720 is a `hidden beast` number, since 4 + 59 + 300 + 4 + 212 + 67 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1523925411 + ... + 1523955549.

It is an arithmetic number, because the mean of its divisors is an integer number (220310590500).

Almost surely, 2^{45930042126720} is an apocalyptic number.

45930042126720 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 45930042126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84599266752000).

45930042126720 is an abundant number, since it is smaller than the sum of its proper divisors (123268491377280).

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

45930042126720 is a wasteful number, since it uses less digits than its factorization.

45930042126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30453 (or 30429 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 45930042126720 in words is "forty-five trillion, nine hundred thirty billion, forty-two million, one hundred twenty-six thousand, seven hundred twenty".