9837400416 has 48 divisors (see below), whose sum is σ = 26713638000. Its totient is φ = 3166059008.

The previous prime is 9837400409. The next prime is 9837400439. The reversal of 9837400416 is 6140047389.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1763991 + ... + 1769558.

It is an arithmetic number, because the mean of its divisors is an integer number (556534125).

Almost surely, 2^9837400416 is an apocalyptic number.

9837400416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9837400416 is an abundant number, since it is smaller than the sum of its proper divisors (16876237584).

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

9837400416 is a wasteful number, since it uses less digits than its factorization.

9837400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533591 (or 3533583 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 9837400416 is about 99183.6701075333. The cubic root of 9837400416 is about 2142.6938166921.

The spelling of 9837400416 in words is "nine billion, eight hundred thirty-seven million, four hundred thousand, four hundred sixteen".