1897416953040 has 720 divisors, whose sum is σ = 7290628316352. Its totient is φ = 406931890176.

The previous prime is 1897416952999. The next prime is 1897416953041. The reversal of 1897416953040 is 403596147981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1897416953041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 454251432 + ... + 454255608.

Almost surely, 2^{1897416953040} is an apocalyptic number.

1897416953040 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 1897416953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645314158176).

1897416953040 is an abundant number, since it is smaller than the sum of its proper divisors (5393211363312).

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

1897416953040 is a wasteful number, since it uses less digits than its factorization.

1897416953040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 1897416953040 in words is "one trillion, eight hundred ninety-seven billion, four hundred sixteen million, nine hundred fifty-three thousand, forty".