45902419200 has 1728 divisors, whose sum is σ = 204386918400. Its totient is φ = 9953280000.

The previous prime is 45902419127. The next prime is 45902419207. The reversal of 45902419200 is 291420954.

45902419200 is a `hidden beast` number, since 4 + 590 + 2 + 41 + 9 + 20 + 0 = 666.

45902419200 is a nontrivial binomial coefficient, being equal to C(1026, 4).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a zygodrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45902419207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1119571180 + ... + 1119571220.

Almost surely, 2^45902419200 is an apocalyptic number.

45902419200 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 45902419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102193459200).

45902419200 is an abundant number, since it is smaller than the sum of its proper divisors (158484499200).

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

45902419200 is a wasteful number, since it uses less digits than its factorization.

45902419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 45902419200 in words is "forty-five billion, nine hundred two million, four hundred nineteen thousand, two hundred".