45721463040 has 576 divisors, whose sum is σ = 178579537920. Its totient is φ = 10985103360.

The previous prime is 45721463027. The next prime is 45721463087. The reversal of 45721463040 is 4036412754.

45721463040 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 14 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 45721462986 and 45721463004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48279847 + ... + 48280793.

It is an arithmetic number, because the mean of its divisors is an integer number (310033920).

Almost surely, 2^45721463040 is an apocalyptic number.

45721463040 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 45721463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89289768960).

45721463040 is an abundant number, since it is smaller than the sum of its proper divisors (132858074880).

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

45721463040 is a wasteful number, since it uses less digits than its factorization.

45721463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 45721463040 its reverse (4036412754), we get a palindrome (49757875794).

The spelling of 45721463040 in words is "forty-five billion, seven hundred twenty-one million, four hundred sixty-three thousand, forty".