9090419097600 has 1536 divisors, whose sum is σ = 35677883136000. Its totient is φ = 2262659235840.

The previous prime is 9090419097589. The next prime is 9090419097611. The reversal of 9090419097600 is 67909140909.

It is an interprime number because it is at equal distance from previous prime (9090419097589) and next prime (9090419097611).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40764211089 + ... + 40764211311.

It is an arithmetic number, because the mean of its divisors is an integer number (23227788500).

Almost surely, 2^{9090419097600} is an apocalyptic number.

9090419097600 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 9090419097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17838941568000).

9090419097600 is an abundant number, since it is smaller than the sum of its proper divisors (26587464038400).

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

9090419097600 is a wasteful number, since it uses less digits than its factorization.

9090419097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 9090419097600 in words is "nine trillion, ninety billion, four hundred nineteen million, ninety-seven thousand, six hundred".