45268070400 has 624 divisors, whose sum is σ = 190136044800. Its totient is φ = 10342563840.

The previous prime is 45268070383. The next prime is 45268070411. The reversal of 45268070400 is 407086254.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19352431 + ... + 19354769.

It is an arithmetic number, because the mean of its divisors is an integer number (304705200).

Almost surely, 2^45268070400 is an apocalyptic number.

45268070400 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 45268070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95068022400).

45268070400 is an abundant number, since it is smaller than the sum of its proper divisors (144867974400).

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

45268070400 is a wasteful number, since it uses less digits than its factorization.

45268070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 45268070400 in words is "forty-five billion, two hundred sixty-eight million, seventy thousand, four hundred".