9000429773400 has 288 divisors, whose sum is σ = 33345498251520. Its totient is φ = 2161453824000.

The previous prime is 9000429773371. The next prime is 9000429773407. The reversal of 9000429773400 is 43779240009.

9000429773400 is a `hidden beast` number, since 90 + 0 + 0 + 4 + 2 + 97 + 73 + 400 = 666.

It is a super-2 number, since 2×9000429773400² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000429773407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3731256 + ... + 5650055.

It is an arithmetic number, because the mean of its divisors is an integer number (115782980040).

Almost surely, 2^{9000429773400} is an apocalyptic number.

9000429773400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9000429773400 is an abundant number, since it is smaller than the sum of its proper divisors (24345068478120).

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

9000429773400 is a wasteful number, since it uses less digits than its factorization.

9000429773400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9381387 (or 9381375 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 9000429773400 in words is "nine trillion, four hundred twenty-nine million, seven hundred seventy-three thousand, four hundred".