9226049040 has 560 divisors, whose sum is σ = 35565765312. Its totient is φ = 2210374656.

The previous prime is 9226049029. The next prime is 9226049057. The reversal of 9226049040 is 409406229.

9226049040 is a `hidden beast` number, since 9 + 2 + 2 + 604 + 9 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9226048986 and 9226049004.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32600739 + ... + 32601021.

Almost surely, 2^9226049040 is an apocalyptic number.

9226049040 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 9226049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17782882656).

9226049040 is an abundant number, since it is smaller than the sum of its proper divisors (26339716272).

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

9226049040 is a wasteful number, since it uses less digits than its factorization.

9226049040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9226049040 is about 96052.3244903527. The cubic root of 9226049040 is about 2097.3548737219.

The spelling of 9226049040 in words is "nine billion, two hundred twenty-six million, forty-nine thousand, forty".