1863142973440 has 448 divisors, whose sum is σ = 5331708684288. Its totient is φ = 611529523200.

The previous prime is 1863142973431. The next prime is 1863142973453. The reversal of 1863142973440 is 443792413681.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1863142973440³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862165960 + ... + 862168120.

It is an arithmetic number, because the mean of its divisors is an integer number (11901135456).

Almost surely, 2^{1863142973440} is an apocalyptic number.

1863142973440 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 1863142973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665854342144).

1863142973440 is an abundant number, since it is smaller than the sum of its proper divisors (3468565710848).

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

1863142973440 is an equidigital number, since it uses as much as digits as its factorization.

1863142973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 1863142973440 in words is "one trillion, eight hundred sixty-three billion, one hundred forty-two million, nine hundred seventy-three thousand, four hundred forty".