74040120000 has 840 divisors, whose sum is σ = 330754524672. Its totient is φ = 15379200000.

The previous prime is 74040119971. The next prime is 74040120001. The reversal of 74040120000 is 2104047.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×74040120000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (74040120001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27718665 + ... + 27721335.

Almost surely, 2^74040120000 is an apocalyptic number.

74040120000 is a gapful number since it is divisible by the number (70) 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 74040120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165377262336).

74040120000 is an abundant number, since it is smaller than the sum of its proper divisors (256714404672).

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

74040120000 is a wasteful number, since it uses less digits than its factorization.

74040120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 74040120000 its reverse (2104047), we get a palindrome (74042224047).

The spelling of 74040120000 in words is "seventy-four billion, forty million, one hundred twenty thousand".