29200001040 has 800 divisors, whose sum is σ = 129245656320. Its totient is φ = 5948080128.

The previous prime is 29200000981. The next prime is 29200001041. The reversal of 29200001040 is 4010000292.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (29200001041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14650284 + ... + 14652276.

Almost surely, 2^29200001040 is an apocalyptic number.

29200001040 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 29200001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64622828160).

29200001040 is an abundant number, since it is smaller than the sum of its proper divisors (100045655280).

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

29200001040 is a wasteful number, since it uses less digits than its factorization.

29200001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 29200001040 in words is "twenty-nine billion, two hundred million, one thousand, forty".