45396469440 has 840 divisors, whose sum is σ = 194075620992. Its totient is φ = 10032906240.

The previous prime is 45396469429. The next prime is 45396469441. The reversal of 45396469440 is 4496469354.

45396469440 is a `hidden beast` number, since 4 + 53 + 96 + 4 + 69 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45396469441) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39371904 + ... + 39373056.

Almost surely, 2^45396469440 is an apocalyptic number.

45396469440 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 45396469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97037810496).

45396469440 is an abundant number, since it is smaller than the sum of its proper divisors (148679151552).

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

45396469440 is a wasteful number, since it uses less digits than its factorization.

45396469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 45396469440 in words is "forty-five billion, three hundred ninety-six million, four hundred sixty-nine thousand, four hundred forty".