45964247040 has 360 divisors, whose sum is σ = 165310825680. Its totient is φ = 12251824128.

The previous prime is 45964247033. The next prime is 45964247051. The reversal of 45964247040 is 4074246954.

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

It is a super-3 number, since 3×45964247040³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 19905406 + ... + 19907714.

It is an arithmetic number, because the mean of its divisors is an integer number (459196738).

Almost surely, 2^45964247040 is an apocalyptic number.

45964247040 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 45964247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82655412840).

45964247040 is an abundant number, since it is smaller than the sum of its proper divisors (119346578640).

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

45964247040 is an frugal number, since it uses more digits than its factorization.

45964247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 45964247040 in words is "forty-five billion, nine hundred sixty-four million, two hundred forty-seven thousand, forty".