429642361440 has 144 divisors (see below), whose sum is σ = 1477699711488. Its totient is φ = 113669111808.

The previous prime is 429642361439. The next prime is 429642361459. The reversal of 429642361440 is 44163246924.

429642361440 is a `hidden beast` number, since 4 + 2 + 9 + 6 + 4 + 23 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991777 + ... + 1357536.

It is an arithmetic number, because the mean of its divisors is an integer number (10261803552).

Almost surely, 2^429642361440 is an apocalyptic number.

429642361440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429642361440 is an abundant number, since it is smaller than the sum of its proper divisors (1048057350048).

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

429642361440 is a wasteful number, since it uses less digits than its factorization.

429642361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349461 (or 2349450 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 429642361440 in words is "four hundred twenty-nine billion, six hundred forty-two million, three hundred sixty-one thousand, four hundred forty".