1872440400096 has 96 divisors (see below), whose sum is σ = 6241468020480. Its totient is φ = 534982969728.

The previous prime is 1872440400059. The next prime is 1872440400097. The reversal of 1872440400096 is 6900040442781.

1872440400096 is a `hidden beast` number, since 1 + 87 + 2 + 440 + 40 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1872440400097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154792266 + ... + 154804361.

It is an arithmetic number, because the mean of its divisors is an integer number (65015291880).

Almost surely, 2^{1872440400096} is an apocalyptic number.

1872440400096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1872440400096 is an abundant number, since it is smaller than the sum of its proper divisors (4369027620384).

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

1872440400096 is a wasteful number, since it uses less digits than its factorization.

1872440400096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309596653 (or 309596639 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1872440400096 in words is "one trillion, eight hundred seventy-two billion, four hundred forty million, four hundred thousand, ninety-six".