10127897209440 has 576 divisors, whose sum is σ = 35211311815680. Its totient is φ = 2650598277120.

The previous prime is 10127897209433. The next prime is 10127897209517. The reversal of 10127897209440 is 4490279872101.

10127897209440 is a `hidden beast` number, since 1 + 0 + 127 + 8 + 9 + 72 + 0 + 9 + 440 = 666.

It is a super-2 number, since 2×10127897209440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 8783951904 + ... + 8783953056.

It is an arithmetic number, because the mean of its divisors is an integer number (61130749680).

Almost surely, 2^{10127897209440} is an apocalyptic number.

10127897209440 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 10127897209440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17605655907840).

10127897209440 is an abundant number, since it is smaller than the sum of its proper divisors (25083414606240).

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

10127897209440 is a wasteful number, since it uses less digits than its factorization.

10127897209440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10127897209440 in words is "ten trillion, one hundred twenty-seven billion, eight hundred ninety-seven million, two hundred nine thousand, four hundred forty".