6011632142040 has 256 divisors, whose sum is σ = 22131120568320. Its totient is φ = 1275043553280.

The previous prime is 6011632141981. The next prime is 6011632142063. The reversal of 6011632142040 is 402412361106.

It is a super-2 number, since 2×6011632142040² (a number of 26 digits) contains 22 as substring.

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 = 6011632141989 and 6011632142007.

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, 1950787 + ... + 3978546.

It is an arithmetic number, because the mean of its divisors is an integer number (86449689720).

Almost surely, 2^{6011632142040} is an apocalyptic number.

6011632142040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6011632142040 is an abundant number, since it is smaller than the sum of its proper divisors (16119488426280).

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

6011632142040 is a wasteful number, since it uses less digits than its factorization.

6011632142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929442 (or 5929438 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 6011632142040 in words is "six trillion, eleven billion, six hundred thirty-two million, one hundred forty-two thousand, forty".