7400969439840 has 1152 divisors, whose sum is σ = 28531077120000. Its totient is φ = 1736027209728.

The previous prime is 7400969439833. The next prime is 7400969439889. The reversal of 7400969439840 is 489349690047.

7400969439840 is a `hidden beast` number, since 7 + 400 + 9 + 69 + 43 + 98 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20615513581 + ... + 20615513939.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560000).

Almost surely, 2^{7400969439840} 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 7400969439840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265538560000).

7400969439840 is an abundant number, since it is smaller than the sum of its proper divisors (21130107680160).

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

7400969439840 is a wasteful number, since it uses less digits than its factorization.

7400969439840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 7400969439840 in words is "seven trillion, four hundred billion, nine hundred sixty-nine million, four hundred thirty-nine thousand, eight hundred forty".