7354961440 has 96 divisors (see below), whose sum is σ = 18042438960. Its totient is φ = 2829926400.

The previous prime is 7354961437. The next prime is 7354961483. The reversal of 7354961440 is 441694537.

It can be written as a sum of positive squares in 8 ways, for example, as 6159738256 + 1195223184 = 78484^2 + 34572^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1301020 + ... + 1306660.

Almost surely, 2^7354961440 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 7354961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9021219480).

7354961440 is an abundant number, since it is smaller than the sum of its proper divisors (10687477520).

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

7354961440 is a wasteful number, since it uses less digits than its factorization.

7354961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 7354961440 is about 85761.0718216604. The cubic root of 7354961440 is about 1944.7336700244.

The spelling of 7354961440 in words is "seven billion, three hundred fifty-four million, nine hundred sixty-one thousand, four hundred forty".