429464363040 has 384 divisors, whose sum is σ = 1527482880000. Its totient is φ = 112678345728.

The previous prime is 429464362993. The next prime is 429464363087. The reversal of 429464363040 is 40363464924.

It is a happy number.

429464363040 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 6 + 4 + 3 + 630 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (429464362993) and next prime (429464363087).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104770911 + ... + 104775009.

It is an arithmetic number, because the mean of its divisors is an integer number (3977820000).

Almost surely, 2^429464363040 is an apocalyptic number.

429464363040 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 429464363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763741440000).

429464363040 is an abundant number, since it is smaller than the sum of its proper divisors (1098018516960).

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

429464363040 is a wasteful number, since it uses less digits than its factorization.

429464363040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 429464363040 in words is "four hundred twenty-nine billion, four hundred sixty-four million, three hundred sixty-three thousand, forty".