6121733042040 has 256 divisors, whose sum is σ = 22978364912640. Its totient is φ = 1267521024000.

The previous prime is 6121733042017. The next prime is 6121733042107. The reversal of 6121733042040 is 402403371216.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 6121733041992 and 6121733042010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1417570 + ... + 3775310.

It is an arithmetic number, because the mean of its divisors is an integer number (89759237940).

Almost surely, 2^{6121733042040} is an apocalyptic number.

6121733042040 is a gapful number since it is divisible by the number (60) 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 6121733042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11489182456320).

6121733042040 is an abundant number, since it is smaller than the sum of its proper divisors (16856631870600).

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

6121733042040 is a wasteful number, since it uses less digits than its factorization.

6121733042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358054 (or 2358050 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 6121733042040 in words is "six trillion, one hundred twenty-one billion, seven hundred thirty-three million, forty-two thousand, forty".