45724155840 has 336 divisors, whose sum is σ = 173507948640. Its totient is φ = 10959421440.

The previous prime is 45724155817. The next prime is 45724155863. The reversal of 45724155840 is 4855142754.

45724155840 is a `hidden beast` number, since 4 + 57 + 2 + 4 + 1 + 558 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (45724155817) and next prime (45724155863).

It is a super-2 number, since 2×45724155840² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2811412 + ... + 2827628.

Almost surely, 2^45724155840 is an apocalyptic number.

45724155840 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 45724155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86753974320).

45724155840 is an abundant number, since it is smaller than the sum of its proper divisors (127783792800).

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

45724155840 is a wasteful number, since it uses less digits than its factorization.

45724155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16340 (or 16327 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 45724155840 in words is "forty-five billion, seven hundred twenty-four million, one hundred fifty-five thousand, eight hundred forty".