127207463040 has 256 divisors, whose sum is σ = 514887840000. Its totient is φ = 29075963904.

The previous prime is 127207463023. The next prime is 127207463057. The reversal of 127207463040 is 40364702721.

127207463040 is a `hidden beast` number, since 12 + 7 + 2 + 0 + 7 + 4 + 630 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (127207463023) and next prime (127207463057).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 127207462986 and 127207463004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404865 + ... + 646784.

It is an arithmetic number, because the mean of its divisors is an integer number (2011280625).

Almost surely, 2^127207463040 is an apocalyptic number.

127207463040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127207463040 is an abundant number, since it is smaller than the sum of its proper divisors (387680376960).

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

127207463040 is a wasteful number, since it uses less digits than its factorization.

127207463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051684 (or 1051666 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 127207463040 in words is "one hundred twenty-seven billion, two hundred seven million, four hundred sixty-three thousand, forty".