198931007341440 has 320 divisors, whose sum is σ = 775002051655920. Its totient is φ = 48225698611200.

The previous prime is 198931007341361. The next prime is 198931007341457. The reversal of 198931007341440 is 44143700139891.

198931007341440 is a `hidden beast` number, since 1 + 9 + 8 + 93 + 1 + 0 + 0 + 73 + 41 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173857201 + ... + 174997680.

Almost surely, 2^{198931007341440} is an apocalyptic number.

198931007341440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198931007341440 is an abundant number, since it is smaller than the sum of its proper divisors (576071044314480).

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

198931007341440 is a wasteful number, since it uses less digits than its factorization.

198931007341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348854923 (or 348854902 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 198931007341440 in words is "one hundred ninety-eight trillion, nine hundred thirty-one billion, seven million, three hundred forty-one thousand, four hundred forty".