29212130651340 has 576 divisors, whose sum is σ = 104374499733504. Its totient is φ = 6049381459968.

The previous prime is 29212130651311. The next prime is 29212130651357. The reversal of 29212130651340 is 4315603121292.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 709304389 + ... + 709345571.

It is an arithmetic number, because the mean of its divisors is an integer number (181205728704).

Almost surely, 2^{29212130651340} is an apocalyptic number.

29212130651340 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 29212130651340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52187249866752).

29212130651340 is an abundant number, since it is smaller than the sum of its proper divisors (75162369082164).

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

29212130651340 is a wasteful number, since it uses less digits than its factorization.

29212130651340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41566 (or 41557 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 29212130651340 in words is "twenty-nine trillion, two hundred twelve billion, one hundred thirty million, six hundred fifty-one thousand, three hundred forty".