1073614201920 has 1344 divisors, whose sum is σ = 4294455459840. Its totient is φ = 253603602432.

The previous prime is 1073614201903. The next prime is 1073614201943. The reversal of 1073614201920 is 291024163701.

1073614201920 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 614 + 2 + 0 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2803170049 + ... + 2803170431.

It is an arithmetic number, because the mean of its divisors is an integer number (3195279360).

Almost surely, 2^{1073614201920} is an apocalyptic number.

1073614201920 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 1073614201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147227729920).

1073614201920 is an abundant number, since it is smaller than the sum of its proper divisors (3220841257920).

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

1073614201920 is a wasteful number, since it uses less digits than its factorization.

1073614201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1073614201920 in words is "one trillion, seventy-three billion, six hundred fourteen million, two hundred one thousand, nine hundred twenty".