429056399744 has 768 divisors, whose sum is σ = 1150967347200. Its totient is φ = 158018273280.

The previous prime is 429056399729. The next prime is 429056399791. The reversal of 429056399744 is 447993650924.

It is a super-2 number, since 2×429056399744² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5877484892 + ... + 5877484964.

It is an arithmetic number, because the mean of its divisors is an integer number (1498655400).

Almost surely, 2^429056399744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429056399744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575483673600).

429056399744 is an abundant number, since it is smaller than the sum of its proper divisors (721910947456).

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

429056399744 is a wasteful number, since it uses less digits than its factorization.

429056399744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 62.

The spelling of 429056399744 in words is "four hundred twenty-nine billion, fifty-six million, three hundred ninety-nine thousand, seven hundred forty-four".