949626653040 has 800 divisors, whose sum is σ = 3859652966400. Its totient is φ = 214296606720.

The previous prime is 949626653023. The next prime is 949626653047. The reversal of 949626653040 is 40356626949.

949626653040 is a `hidden beast` number, since 9 + 4 + 9 + 6 + 2 + 66 + 530 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949626653047) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49607791 + ... + 49626929.

It is an arithmetic number, because the mean of its divisors is an integer number (4824566208).

Almost surely, 2^949626653040 is an apocalyptic number.

949626653040 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 949626653040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929826483200).

949626653040 is an abundant number, since it is smaller than the sum of its proper divisors (2910026313360).

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

949626653040 is a wasteful number, since it uses less digits than its factorization.

949626653040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19227 (or 19212 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 949626653040 in words is "nine hundred forty-nine billion, six hundred twenty-six million, six hundred fifty-three thousand, forty".