1904434457040 has 80 divisors (see below), whose sum is σ = 6559718692800. Its totient is φ = 507849187968.

The previous prime is 1904434456999. The next prime is 1904434457047. The reversal of 1904434457040 is 407544344091.

1904434457040 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 4 + 34 + 4 + 570 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1904434457040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904434457047) 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, 440839150 + ... + 440843469.

It is an arithmetic number, because the mean of its divisors is an integer number (81996483660).

Almost surely, 2^{1904434457040} is an apocalyptic number.

1904434457040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1904434457040 is an abundant number, since it is smaller than the sum of its proper divisors (4655284235760).

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

1904434457040 is a wasteful number, since it uses less digits than its factorization.

1904434457040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881682641 (or 881682629 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1904434457040 in words is "one trillion, nine hundred four billion, four hundred thirty-four million, four hundred fifty-seven thousand, forty".