740972940480000 has 1200 divisors, whose sum is σ = 2780356469130240. Its totient is φ = 196942814208000.

The previous prime is 740972940479923. The next prime is 740972940480001. The reversal of 740972940480000 is 84049279047.

It is a happy number.

740972940480000 is a `hidden beast` number, since 7 + 4 + 0 + 9 + 72 + 94 + 0 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740972940480001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 23872304481 + ... + 23872335519.

Almost surely, 2^{740972940480000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 740972940480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390178234565120).

740972940480000 is an abundant number, since it is smaller than the sum of its proper divisors (2039383528650240).

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

740972940480000 is an frugal number, since it uses more digits than its factorization.

740972940480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31399 (or 31356 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 740972940480000 in words is "seven hundred forty trillion, nine hundred seventy-two billion, nine hundred forty million, four hundred eighty thousand".