429729913042542 has 72 divisors (see below), whose sum is σ = 1083115955975976. Its totient is φ = 122777574734304.

The previous prime is 429729913042487. The next prime is 429729913042543. The reversal of 429729913042542 is 245240319927924.

It is a happy number.

429729913042542 is a `hidden beast` number, since 4 + 2 + 9 + 72 + 9 + 9 + 1 + 304 + 254 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 429729913042542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429729913042543) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40621588 + ... + 50095640.

It is an arithmetic number, because the mean of its divisors is an integer number (15043277166333).

Almost surely, 2^{429729913042542} is an apocalyptic number.

429729913042542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

429729913042542 is an abundant number, since it is smaller than the sum of its proper divisors (653386042933434).

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

429729913042542 is a wasteful number, since it uses less digits than its factorization.

429729913042542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9525502 (or 9525492 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 429729913042542 in words is "four hundred twenty-nine trillion, seven hundred twenty-nine billion, nine hundred thirteen million, forty-two thousand, five hundred forty-two".