1933943513040 has 3360 divisors, whose sum is σ = 9344551910400. Its totient is φ = 370172436480.

The previous prime is 1933943513039. The next prime is 1933943513071. The reversal of 1933943513040 is 403153493391.

1933943513040 is a `hidden beast` number, since 1 + 9 + 3 + 3 + 94 + 3 + 513 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 41147734297 + ... + 41147734343.

It is an arithmetic number, because the mean of its divisors is an integer number (2781116640).

Almost surely, 2^{1933943513040} is an apocalyptic number.

1933943513040 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 1933943513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672275955200).

1933943513040 is an abundant number, since it is smaller than the sum of its proper divisors (7410608397360).

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

1933943513040 is a wasteful number, since it uses less digits than its factorization.

1933943513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 1933943513040 in words is "one trillion, nine hundred thirty-three billion, nine hundred forty-three million, five hundred thirteen thousand, forty".