29157404640 has 768 divisors, whose sum is σ = 118936387584. Its totient is φ = 5839257600.

The previous prime is 29157404587. The next prime is 29157404657. The reversal of 29157404640 is 4640475192.

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 = 29157404592 and 29157404601.

It is a congruent number.

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, 82598704 + ... + 82599056.

It is an arithmetic number, because the mean of its divisors is an integer number (154865088).

Almost surely, 2^29157404640 is an apocalyptic number.

29157404640 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 29157404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59468193792).

29157404640 is an abundant number, since it is smaller than the sum of its proper divisors (89778982944).

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

29157404640 is a wasteful number, since it uses less digits than its factorization.

29157404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 29157404640 in words is "twenty-nine billion, one hundred fifty-seven million, four hundred four thousand, six hundred forty".