9461629440 has 400 divisors, whose sum is σ = 34294822848. Its totient is φ = 2492964864.

The previous prime is 9461629423. The next prime is 9461629487. The reversal of 9461629440 is 449261649.

9461629440 is a `hidden beast` number, since 9 + 4 + 616 + 29 + 4 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21357859 + ... + 21358301.

Almost surely, 2^9461629440 is an apocalyptic number.

9461629440 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 9461629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147411424).

9461629440 is an abundant number, since it is smaller than the sum of its proper divisors (24833193408).

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

9461629440 is a wasteful number, since it uses less digits than its factorization.

9461629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9461629440 is about 97270.9074698083. The cubic root of 9461629440 is about 2115.0565248210.

The spelling of 9461629440 in words is "nine billion, four hundred sixty-one million, six hundred twenty-nine thousand, four hundred forty".