1933434557640 has 640 divisors, whose sum is σ = 7166491200000. Its totient is φ = 465600006144.

The previous prime is 1933434557623. The next prime is 1933434557641. The reversal of 1933434557640 is 467554343391.

1933434557640 is a `hidden beast` number, since 1 + 9 + 3 + 3 + 43 + 4 + 557 + 6 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1933434557641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 141027106 + ... + 141040814.

It is an arithmetic number, because the mean of its divisors is an integer number (11197642500).

Almost surely, 2^{1933434557640} is an apocalyptic number.

1933434557640 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 1933434557640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583245600000).

1933434557640 is an abundant number, since it is smaller than the sum of its proper divisors (5233056642360).

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

1933434557640 is a wasteful number, since it uses less digits than its factorization.

1933434557640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13859 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 1933434557640 in words is "one trillion, nine hundred thirty-three billion, four hundred thirty-four million, five hundred fifty-seven thousand, six hundred forty".