45995040000 has 1620 divisors, whose sum is σ = 212673997536. Its totient is φ = 9704448000.

The previous prime is 45995039971. The next prime is 45995040011. The reversal of 45995040000 is 4059954.

It is a tau number, because it is divible by the number of its divisors (1620).

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 179 ways as a sum of consecutive naturals, for example, 3538079994 + ... + 3538080006.

Almost surely, 2^45995040000 is an apocalyptic number.

45995040000 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 45995040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106336998768).

45995040000 is an abundant number, since it is smaller than the sum of its proper divisors (166678957536).

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

45995040000 is an frugal number, since it uses more digits than its factorization.

45995040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 45995040000 its reverse (4059954), we get a palindrome (45999099954).

The spelling of 45995040000 in words is "forty-five billion, nine hundred ninety-five million, forty thousand".