429196501440 has 560 divisors, whose sum is σ = 1805020113600. Its totient is φ = 94718066688.

The previous prime is 429196501429. The next prime is 429196501457. The reversal of 429196501440 is 44105691924.

It is a tau number, because it is divible by the number of its divisors (560).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5220976 + ... + 5302544.

Almost surely, 2^429196501440 is an apocalyptic number.

429196501440 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 429196501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902510056800).

429196501440 is an abundant number, since it is smaller than the sum of its proper divisors (1375823612160).

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

429196501440 is a wasteful number, since it uses less digits than its factorization.

429196501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81634 (or 81615 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 429196501440 in words is "four hundred twenty-nine billion, one hundred ninety-six million, five hundred one thousand, four hundred forty".