1002413094480 has 480 divisors, whose sum is σ = 4055658397440. Its totient is φ = 216752578560.

The previous prime is 1002413094467. The next prime is 1002413094493. The reversal of 1002413094480 is 844903142001.

It is a happy number.

1002413094480 is a `hidden beast` number, since 100 + 2 + 41 + 30 + 9 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1002413094467) and next prime (1002413094493).

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

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, 70184940 + ... + 70199220.

It is an arithmetic number, because the mean of its divisors is an integer number (8449288328).

Almost surely, 2^{1002413094480} is an apocalyptic number.

1002413094480 is a gapful number since it is divisible by the number (10) 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 1002413094480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027829198720).

1002413094480 is an abundant number, since it is smaller than the sum of its proper divisors (3053245302960).

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

1002413094480 is a wasteful number, since it uses less digits than its factorization.

1002413094480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15059 (or 15050 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1002413094480 in words is "one trillion, two billion, four hundred thirteen million, ninety-four thousand, four hundred eighty".