29402097984 has 378 divisors, whose sum is σ = 101871768570. Its totient is φ = 8394720768.

The previous prime is 29402097983. The next prime is 29402098013. The reversal of 29402097984 is 48979020492.

29402097984 is a `hidden beast` number, since 294 + 0 + 209 + 79 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18517766400 + 10884331584 = 136080^2 + 104328^2 .

It is a tau number, because it is divible by the number of its divisors (378).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 29402097984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29402097983) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20574582 + ... + 20576010.

Almost surely, 2^29402097984 is an apocalyptic number.

29402097984 is a gapful number since it is divisible by the number (24) 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 29402097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50935884285).

29402097984 is an abundant number, since it is smaller than the sum of its proper divisors (72469670586).

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

29402097984 is an frugal number, since it uses more digits than its factorization.

29402097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 29402097984 in words is "twenty-nine billion, four hundred two million, ninety-seven thousand, nine hundred eighty-four".