45933661440 has 360 divisors, whose sum is σ = 170037723240. Its totient is φ = 11825823744.

The previous prime is 45933661439. The next prime is 45933661471. The reversal of 45933661440 is 4416633954.

45933661440 is a `hidden beast` number, since 4 + 593 + 3 + 6 + 6 + 14 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 329204736 + 45604456704 = 18144^2 + 213552^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2999082 + ... + 3014358.

It is an arithmetic number, because the mean of its divisors is an integer number (472327009).

Almost surely, 2^45933661440 is an apocalyptic number.

45933661440 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 45933661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85018861620).

45933661440 is an abundant number, since it is smaller than the sum of its proper divisors (124104061800).

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

45933661440 is a wasteful number, since it uses less digits than its factorization.

45933661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15339 (or 15316 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 45933661440 in words is "forty-five billion, nine hundred thirty-three million, six hundred sixty-one thousand, four hundred forty".