45415269840 has 320 divisors, whose sum is σ = 150640358400. Its totient is φ = 11286024192.

The previous prime is 45415269829. The next prime is 45415269857. The reversal of 45415269840 is 4896251454.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45415269840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86835819 + ... + 86836341.

It is an arithmetic number, because the mean of its divisors is an integer number (470751120).

Almost surely, 2^45415269840 is an apocalyptic number.

45415269840 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 45415269840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75320179200).

45415269840 is an abundant number, since it is smaller than the sum of its proper divisors (105225088560).

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

45415269840 is a wasteful number, since it uses less digits than its factorization.

45415269840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 45415269840 in words is "forty-five billion, four hundred fifteen million, two hundred sixty-nine thousand, eight hundred forty".