45930722400 has 216 divisors, whose sum is σ = 171490914504. Its totient is φ = 11527680000.

The previous prime is 45930722381. The next prime is 45930722423. The reversal of 45930722400 is 422703954.

45930722400 is a `hidden beast` number, since 4 + 593 + 0 + 7 + 22 + 40 + 0 = 666.

It is a super-3 number, since 3×45930722400³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65226 + ... + 310025.

It is an arithmetic number, because the mean of its divisors is an integer number (793939419).

Almost surely, 2^45930722400 is an apocalyptic number.

45930722400 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 45930722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85745457252).

45930722400 is an abundant number, since it is smaller than the sum of its proper divisors (125560192104).

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

45930722400 is a wasteful number, since it uses less digits than its factorization.

45930722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375294 (or 375278 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 45930722400 in words is "forty-five billion, nine hundred thirty million, seven hundred twenty-two thousand, four hundred".