9396541440 has 1152 divisors, whose sum is σ = 41211555840. Its totient is φ = 1946419200.

The previous prime is 9396541439. The next prime is 9396541457. The reversal of 9396541440 is 441456939.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 303114225 + ... + 303114255.

It is an arithmetic number, because the mean of its divisors is an integer number (35773920).

Almost surely, 2^9396541440 is an apocalyptic number.

9396541440 is a gapful number since it is divisible by the number (90) 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 9396541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20605777920).

9396541440 is an abundant number, since it is smaller than the sum of its proper divisors (31815014400).

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

9396541440 is a wasteful number, since it uses less digits than its factorization.

9396541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9396541440 is about 96935.7593460741. The cubic root of 9396541440 is about 2110.1954282425.

The spelling of 9396541440 in words is "nine billion, three hundred ninety-six million, five hundred forty-one thousand, four hundred forty".