127246561600400 has 480 divisors, whose sum is σ = 343668591230976. Its totient is φ = 44876966400000.

The previous prime is 127246561600393. The next prime is 127246561600429. The reversal of 127246561600400 is 4006165642721.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21935277500 + ... + 21935283300.

Almost surely, 2^{127246561600400} is an apocalyptic number.

127246561600400 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 127246561600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171834295615488).

127246561600400 is an abundant number, since it is smaller than the sum of its proper divisors (216422029630576).

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

127246561600400 is a wasteful number, since it uses less digits than its factorization.

127246561600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6671 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 127246561600400 in words is "one hundred twenty-seven trillion, two hundred forty-six billion, five hundred sixty-one million, six hundred thousand, four hundred".