4293429977088 has 336 divisors, whose sum is σ = 14184278724096. Its totient is φ = 1225828270080.

The previous prime is 4293429977071. The next prime is 4293429977101. The reversal of 4293429977088 is 8807799243924.

4293429977088 is a `hidden beast` number, since 42 + 9 + 3 + 429 + 97 + 70 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1229855023 + ... + 1229858513.

Almost surely, 2^{4293429977088} is an apocalyptic number.

4293429977088 is a gapful number since it is divisible by the number (48) 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 4293429977088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092139362048).

4293429977088 is an abundant number, since it is smaller than the sum of its proper divisors (9890848747008).

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

4293429977088 is a wasteful number, since it uses less digits than its factorization.

4293429977088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 4293429977088 in words is "four trillion, two hundred ninety-three billion, four hundred twenty-nine million, nine hundred seventy-seven thousand, eighty-eight".