1010953440 has 384 divisors, whose sum is σ = 4096189440. Its totient is φ = 228096000.

The previous prime is 1010953439. The next prime is 1010953469. The reversal of 1010953440 is 443590101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3054075 + ... + 3054405.

It is an arithmetic number, because the mean of its divisors is an integer number (10667160).

Almost surely, 2^1010953440 is an apocalyptic number.

1010953440 is a gapful number since it is divisible by the number (10) 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 1010953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048094720).

1010953440 is an abundant number, since it is smaller than the sum of its proper divisors (3085236000).

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

1010953440 is a wasteful number, since it uses less digits than its factorization.

1010953440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1010953440 is about 31795.4940203797. The cubic root of 1010953440 is about 1003.6378963286.

The spelling of 1010953440 in words is "one billion, ten million, nine hundred fifty-three thousand, four hundred forty".