9402261073920 has 2496 divisors, whose sum is σ = 40721988722688. Its totient is φ = 1974730752000.

The previous prime is 9402261073873. The next prime is 9402261073937. The reversal of 9402261073920 is 293701622049.

9402261073920 is a `hidden beast` number, since 9 + 4 + 0 + 2 + 2 + 610 + 7 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30232350565 + ... + 30232350875.

It is an arithmetic number, because the mean of its divisors is an integer number (16314899328).

Almost surely, 2^{9402261073920} is an apocalyptic number.

9402261073920 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 9402261073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20360994361344).

9402261073920 is an abundant number, since it is smaller than the sum of its proper divisors (31319727648768).

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

9402261073920 is a wasteful number, since it uses less digits than its factorization.

9402261073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

Adding to 9402261073920 its reverse (293701622049), we get a palindrome (9695962695969).

The spelling of 9402261073920 in words is "nine trillion, four hundred two billion, two hundred sixty-one million, seventy-three thousand, nine hundred twenty".