10437009408 has 504 divisors, whose sum is σ = 36710764272. Its totient is φ = 2954133504.

The previous prime is 10437009403. The next prime is 10437009409. The reversal of 10437009408 is 80490073401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10437009403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97542091 + ... + 97542197.

It is an arithmetic number, because the mean of its divisors is an integer number (72838818).

Almost surely, 2^10437009408 is an apocalyptic number.

10437009408 is a gapful number since it is divisible by the number (18) 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 10437009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355382136).

10437009408 is an abundant number, since it is smaller than the sum of its proper divisors (26273754864).

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

10437009408 is an frugal number, since it uses more digits than its factorization.

10437009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10437009408 in words is "ten billion, four hundred thirty-seven million, nine thousand, four hundred eight".