1890426193920 has 768 divisors, whose sum is σ = 7375198521600. Its totient is φ = 455509278720.

The previous prime is 1890426193883. The next prime is 1890426193963. The reversal of 1890426193920 is 293916240981.

1890426193920 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 426 + 193 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×1890426193920² (a number of 25 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 526139644 + ... + 526143236.

It is an arithmetic number, because the mean of its divisors is an integer number (9603123075).

Almost surely, 2^{1890426193920} is an apocalyptic number.

1890426193920 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 1890426193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687599260800).

1890426193920 is an abundant number, since it is smaller than the sum of its proper divisors (5484772327680).

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

1890426193920 is a wasteful number, since it uses less digits than its factorization.

1890426193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3813 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1890426193920 in words is "one trillion, eight hundred ninety billion, four hundred twenty-six million, one hundred ninety-three thousand, nine hundred twenty".