127314782400 has 336 divisors, whose sum is σ = 454305485088. Its totient is φ = 31027200000.

The previous prime is 127314782389. The next prime is 127314782401. The reversal of 127314782400 is 4287413721.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (127314782401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6292300 + ... + 6312500.

It is an arithmetic number, because the mean of its divisors is an integer number (1352099658).

Almost surely, 2^127314782400 is an apocalyptic number.

127314782400 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 127314782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227152742544).

127314782400 is an abundant number, since it is smaller than the sum of its proper divisors (326990702688).

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

127314782400 is a wasteful number, since it uses less digits than its factorization.

127314782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20340 (or 20325 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 127314782400 in words is "one hundred twenty-seven billion, three hundred fourteen million, seven hundred eighty-two thousand, four hundred".