1869921275040 has 2688 divisors, whose sum is σ = 8868915804672. Its totient is φ = 361184624640.

The previous prime is 1869921275039. The next prime is 1869921275071. The reversal of 1869921275040 is 405721299681.

It is a happy number.

1869921275040 is a `hidden beast` number, since 1 + 8 + 6 + 9 + 9 + 2 + 127 + 504 + 0 = 666.

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 447 ways as a sum of consecutive naturals, for example, 7759009320 + ... + 7759009560.

It is an arithmetic number, because the mean of its divisors is an integer number (3299447844).

Almost surely, 2^{1869921275040} is an apocalyptic number.

1869921275040 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 1869921275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434457902336).

1869921275040 is an abundant number, since it is smaller than the sum of its proper divisors (6998994529632).

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

1869921275040 is a wasteful number, since it uses less digits than its factorization.

1869921275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1869921275040 in words is "one trillion, eight hundred sixty-nine billion, nine hundred twenty-one million, two hundred seventy-five thousand, forty".