9740269440 has 1280 divisors, whose sum is σ = 42653952000. Its totient is φ = 2090188800.

The previous prime is 9740269439. The next prime is 9740269463. The reversal of 9740269440 is 449620479.

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 159 ways as a sum of consecutive naturals, for example, 314202225 + ... + 314202255.

It is an arithmetic number, because the mean of its divisors is an integer number (33323400).

Almost surely, 2^9740269440 is an apocalyptic number.

9740269440 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 9740269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326976000).

9740269440 is an abundant number, since it is smaller than the sum of its proper divisors (32913682560).

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

9740269440 is a wasteful number, since it uses less digits than its factorization.

9740269440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9740269440 is about 98692.8033850493. The cubic root of 9740269440 is about 2135.6184143505.

The spelling of 9740269440 in words is "nine billion, seven hundred forty million, two hundred sixty-nine thousand, four hundred forty".