29070536040 has 512 divisors, whose sum is σ = 121535769600. Its totient is φ = 6016757760.

The previous prime is 29070536029. The next prime is 29070536057. The reversal of 29070536040 is 4063507092.

29070536040 is a `hidden beast` number, since 290 + 7 + 0 + 5 + 360 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29070535986 and 29070536004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5206050 + ... + 5211630.

It is an arithmetic number, because the mean of its divisors is an integer number (237374550).

Almost surely, 2^29070536040 is an apocalyptic number.

29070536040 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 29070536040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60767884800).

29070536040 is an abundant number, since it is smaller than the sum of its proper divisors (92465233560).

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

29070536040 is a wasteful number, since it uses less digits than its factorization.

29070536040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 29070536040 in words is "twenty-nine billion, seventy million, five hundred thirty-six thousand, forty".