4952629440 has 672 divisors, whose sum is σ = 20166543360. Its totient is φ = 1133568000.

The previous prime is 4952629417. The next prime is 4952629441. The reversal of 4952629440 is 449262594.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4952629441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120795820 + ... + 120795860.

Almost surely, 2^4952629440 is an apocalyptic number.

4952629440 is a gapful number since it is divisible by the number (40) 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 4952629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083271680).

4952629440 is an abundant number, since it is smaller than the sum of its proper divisors (15213913920).

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

4952629440 is a wasteful number, since it uses less digits than its factorization.

4952629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4952629440 is about 70374.9205328148. The cubic root of 4952629440 is about 1704.5586345337.

The spelling of 4952629440 in words is "four billion, nine hundred fifty-two million, six hundred twenty-nine thousand, four hundred forty".