14975429400 has 288 divisors, whose sum is σ = 51821415360. Its totient is φ = 3873381120.

The previous prime is 14975429347. The next prime is 14975429401. The reversal of 14975429400 is 492457941.

14975429400 is a `hidden beast` number, since 14 + 9 + 7 + 542 + 94 + 0 + 0 = 666.

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 (14975429401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12615607 + ... + 12616793.

It is an arithmetic number, because the mean of its divisors is an integer number (179935470).

Almost surely, 2^14975429400 is an apocalyptic number.

14975429400 is a gapful number since it is divisible by the number (10) 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 14975429400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25910707680).

14975429400 is an abundant number, since it is smaller than the sum of its proper divisors (36845985960).

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

14975429400 is a wasteful number, since it uses less digits than its factorization.

14975429400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 14975429400 in words is "fourteen billion, nine hundred seventy-five million, four hundred twenty-nine thousand, four hundred".