29845456745040 has 120 divisors (see below), whose sum is σ = 100587686839848. Its totient is φ = 7930465320960.

The previous prime is 29845456745023. The next prime is 29845456745047. The reversal of 29845456745040 is 4054765454892.

29845456745040 is a `hidden beast` number, since 2 + 9 + 8 + 4 + 5 + 4 + 56 + 74 + 504 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1485102947904 + 28360353797136 = 1218648^2 + 5325444^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29845456745047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73555729 + ... + 73960368.

Almost surely, 2^{29845456745040} is an apocalyptic number.

29845456745040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29845456745040 is an abundant number, since it is smaller than the sum of its proper divisors (70742230094808).

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

29845456745040 is a wasteful number, since it uses less digits than its factorization.

29845456745040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147516397 (or 147516388 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 29845456745040 in words is "twenty-nine trillion, eight hundred forty-five billion, four hundred fifty-six million, seven hundred forty-five thousand, forty".