29455368198400 has 243 divisors, whose sum is σ = 73510170654081. Its totient is φ = 11685411440640.

The previous prime is 29455368198341. The next prime is 29455368198479. The reversal of 29455368198400 is 489186355492.

The square root of 29455368198400 is 5427280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10603932551424 + 18851435646976 = 3256368^2 + 4341824^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77718649411 + ... + 77718649789.

Almost surely, 2^{29455368198400} is an apocalyptic number.

29455368198400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29455368198400 is the 5427280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29455368198400

29455368198400 is an abundant number, since it is smaller than the sum of its proper divisors (44054802455681).

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

29455368198400 is an frugal number, since it uses more digits than its factorization.

29455368198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 64.

29455368198400 divided by its sum of digits (64) gives a square (460240128100 = 678410²).

The spelling of 29455368198400 in words is "twenty-nine trillion, four hundred fifty-five billion, three hundred sixty-eight million, one hundred ninety-eight thousand, four hundred".