6121003643040 has 384 divisors, whose sum is σ = 22664526796800. Its totient is φ = 1368977264640.

The previous prime is 6121003642993. The next prime is 6121003643173. The reversal of 6121003643040 is 403463001216.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6121003642989 and 6121003643007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128950831 + ... + 128998289.

It is an arithmetic number, because the mean of its divisors is an integer number (59022205200).

Almost surely, 2^{6121003643040} is an apocalyptic number.

6121003643040 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 6121003643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332263398400).

6121003643040 is an abundant number, since it is smaller than the sum of its proper divisors (16543523153760).

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

6121003643040 is a wasteful number, since it uses less digits than its factorization.

6121003643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49380 (or 49372 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 6121003643040 its reverse (403463001216), we get a palindrome (6524466644256).

The spelling of 6121003643040 in words is "six trillion, one hundred twenty-one billion, three million, six hundred forty-three thousand, forty".