29109961440 has 672 divisors, whose sum is σ = 119345317056. Its totient is φ = 6569164800.

The previous prime is 29109961411. The next prime is 29109961451. The reversal of 29109961440 is 4416990192.

29109961440 is a `hidden beast` number, since 29 + 1 + 0 + 9 + 9 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 111 ways as a sum of consecutive naturals, for example, 82464304 + ... + 82464656.

It is an arithmetic number, because the mean of its divisors is an integer number (177597198).

Almost surely, 2^29109961440 is an apocalyptic number.

29109961440 is a gapful number since it is divisible by the number (20) 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 29109961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59672658528).

29109961440 is an abundant number, since it is smaller than the sum of its proper divisors (90235355616).

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

29109961440 is a wasteful number, since it uses less digits than its factorization.

29109961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 29109961440 in words is "twenty-nine billion, one hundred nine million, nine hundred sixty-one thousand, four hundred forty".