29906701440 has 256 divisors, whose sum is σ = 118850595840. Its totient is φ = 6214348800.

The previous prime is 29906701421. The next prime is 29906701453. The reversal of 29906701440 is 4410760992.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 29906701392 and 29906701401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46695 + ... + 248985.

It is an arithmetic number, because the mean of its divisors is an integer number (464260140).

Almost surely, 2^29906701440 is an apocalyptic number.

29906701440 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 29906701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59425297920).

29906701440 is an abundant number, since it is smaller than the sum of its proper divisors (88943894400).

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

29906701440 is a wasteful number, since it uses less digits than its factorization.

29906701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202331 (or 202319 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 29906701440 in words is "twenty-nine billion, nine hundred six million, seven hundred one thousand, four hundred forty".