1896935040000 has 3960 divisors, whose sum is σ = 9552952176768. Its totient is φ = 356106240000.

The previous prime is 1896935039977. The next prime is 1896935040017. The reversal of 1896935040000 is 405396981.

It is a happy number.

1896935040000 is a `hidden beast` number, since 1 + 89 + 69 + 3 + 504 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 40360319977 + ... + 40360320023.

Almost surely, 2^{1896935040000} is an apocalyptic number.

1896935040000 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 1896935040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776476088384).

1896935040000 is an abundant number, since it is smaller than the sum of its proper divisors (7656017136768).

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

1896935040000 is a wasteful number, since it uses less digits than its factorization.

1896935040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1896935040000 in words is "one trillion, eight hundred ninety-six billion, nine hundred thirty-five million, forty thousand".