45907404000 has 192 divisors, whose sum is σ = 155245289472. Its totient is φ = 11846976000.

The previous prime is 45907403981. The next prime is 45907404007. The reversal of 45907404000 is 40470954.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45907404007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310297 + ... + 433703.

It is an arithmetic number, because the mean of its divisors is an integer number (808569216).

Almost surely, 2^45907404000 is an apocalyptic number.

45907404000 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 45907404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77622644736).

45907404000 is an abundant number, since it is smaller than the sum of its proper divisors (109337885472).

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

45907404000 is a wasteful number, since it uses less digits than its factorization.

45907404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123466 (or 123448 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 45907404000 its reverse (40470954), we get a palindrome (45947874954).

The spelling of 45907404000 in words is "forty-five billion, nine hundred seven million, four hundred four thousand".