120641837440 has 512 divisors, whose sum is σ = 327016569600. Its totient is φ = 42388684800.

The previous prime is 120641837431. The next prime is 120641837443. The reversal of 120641837440 is 44738146021.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 120641837393 and 120641837402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120641837443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1067626824 + ... + 1067626936.

Almost surely, 2^120641837440 is an apocalyptic number.

120641837440 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 120641837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163508284800).

120641837440 is an abundant number, since it is smaller than the sum of its proper divisors (206374732160).

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

120641837440 is a wasteful number, since it uses less digits than its factorization.

120641837440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 120641837440 in words is "one hundred twenty billion, six hundred forty-one million, eight hundred thirty-seven thousand, four hundred forty".