128477991240 has 320 divisors, whose sum is σ = 449121024000. Its totient is φ = 32901603840.

The previous prime is 128477991167. The next prime is 128477991287. The reversal of 128477991240 is 42199774821.

128477991240 is a `hidden beast` number, since 128 + 477 + 9 + 9 + 1 + 2 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17942781 + ... + 17949939.

It is an arithmetic number, because the mean of its divisors is an integer number (1403503200).

Almost surely, 2^128477991240 is an apocalyptic number.

128477991240 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 128477991240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224560512000).

128477991240 is an abundant number, since it is smaller than the sum of its proper divisors (320643032760).

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

128477991240 is a wasteful number, since it uses less digits than its factorization.

128477991240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402 (or 7389 counting only the distinct ones).

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

The spelling of 128477991240 in words is "one hundred twenty-eight billion, four hundred seventy-seven million, nine hundred ninety-one thousand, two hundred forty".