45141494400 has 240 divisors, whose sum is σ = 166582997790. Its totient is φ = 12037662720.

The previous prime is 45141494399. The next prime is 45141494417. The reversal of 45141494400 is 449414154.

It is a happy number.

45141494400 is a `hidden beast` number, since 4 + 514 + 14 + 94 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 26407550016 + 18733944384 = 162504^2 + 136872^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 172122 + ... + 346278.

Almost surely, 2^45141494400 is an apocalyptic number.

45141494400 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 45141494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83291498895).

45141494400 is an abundant number, since it is smaller than the sum of its proper divisors (121441503390).

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

45141494400 is a wasteful number, since it uses less digits than its factorization.

45141494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174193 (or 174167 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45141494400 in words is "forty-five billion, one hundred forty-one million, four hundred ninety-four thousand, four hundred".