74145654240000 has 1440 divisors, whose sum is σ = 285668954672640. Its totient is φ = 16717529088000.

The previous prime is 74145654239981. The next prime is 74145654240149. The reversal of 74145654240000 is 4245654147.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 162244319772 + ... + 162244320228.

Almost surely, 2^{74145654240000} is an apocalyptic number.

74145654240000 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 74145654240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142834477336320).

74145654240000 is an abundant number, since it is smaller than the sum of its proper divisors (211523300432640).

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

74145654240000 is a wasteful number, since it uses less digits than its factorization.

74145654240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

Adding to 74145654240000 its reverse (4245654147), we get a palindrome (74149899894147).

The spelling of 74145654240000 in words is "seventy-four trillion, one hundred forty-five billion, six hundred fifty-four million, two hundred forty thousand".