45532110400 has 168 divisors, whose sum is σ = 129365914496. Its totient is φ = 15449702400.

The previous prime is 45532110319. The next prime is 45532110433. The reversal of 45532110400 is 401123554.

It is a happy number.

45532110400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1065445 + ... + 1107355.

Almost surely, 2^45532110400 is an apocalyptic number.

45532110400 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 45532110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64682957248).

45532110400 is an abundant number, since it is smaller than the sum of its proper divisors (83833804096).

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

45532110400 is a wasteful number, since it uses less digits than its factorization.

45532110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42037 (or 42022 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 45532110400 its reverse (401123554), we get a palindrome (45933233954).

The spelling of 45532110400 in words is "forty-five billion, five hundred thirty-two million, one hundred ten thousand, four hundred".