429287040000 has 2475 divisors, whose sum is σ = 2017809638757. Its totient is φ = 90574848000.

The previous prime is 429287039983. The next prime is 429287040031. The reversal of 429287040000 is 40782924.

The square root of 429287040000 is 655200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 424019764224 + 5267275776 = 651168^2 + 72576^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 33022079994 + ... + 33022080006.

Almost surely, 2^429287040000 is an apocalyptic number.

429287040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

429287040000 is the 655200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429287040000

429287040000 is an abundant number, since it is smaller than the sum of its proper divisors (1588522598757).

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

429287040000 is an equidigital number, since it uses as much as digits as its factorization.

429287040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 429287040000 by its sum of digits (36), we get a square (15454333440000 = 3931200²).

429287040000 divided by its sum of digits (36) gives a square (11924640000 = 109200²).

The spelling of 429287040000 in words is "four hundred twenty-nine billion, two hundred eighty-seven million, forty thousand".