45714240000 has 1600 divisors, whose sum is σ = 204023191680. Its totient is φ = 9953280000.

The previous prime is 45714239939. The next prime is 45714240017. The reversal of 45714240000 is 4241754.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1235519982 + ... + 1235520018.

Almost surely, 2^45714240000 is an apocalyptic number.

45714240000 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 45714240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102011595840).

45714240000 is an abundant number, since it is smaller than the sum of its proper divisors (158308951680).

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

45714240000 is a wasteful number, since it uses less digits than its factorization.

45714240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 45714240000 its reverse (4241754), we get a palindrome (45718481754).

The spelling of 45714240000 in words is "forty-five billion, seven hundred fourteen million, two hundred forty thousand".