29121990440400 has 1440 divisors, whose sum is σ = 125852471926272. Its totient is φ = 6126693580800.

The previous prime is 29121990440377. The next prime is 29121990440437. The reversal of 29121990440400 is 404409912192.

It is a happy number.

29121990440400 is a `hidden beast` number, since 2 + 9 + 12 + 199 + 0 + 4 + 40 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14116329769 + ... + 14116331831.

Almost surely, 2^{29121990440400} is an apocalyptic number.

29121990440400 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 29121990440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62926235963136).

29121990440400 is an abundant number, since it is smaller than the sum of its proper divisors (96730481485872).

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

29121990440400 is a wasteful number, since it uses less digits than its factorization.

29121990440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 29121990440400 in words is "twenty-nine trillion, one hundred twenty-one billion, nine hundred ninety million, four hundred forty thousand, four hundred".