1002401111040 has 352 divisors, whose sum is σ = 3763179646464. Its totient is φ = 222926929920.

The previous prime is 1002401111027. The next prime is 1002401111051. The reversal of 1002401111040 is 401111042001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3852255 + ... + 4104225.

Almost surely, 2^{1002401111040} is an apocalyptic number.

1002401111040 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 1002401111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881589823232).

1002401111040 is an abundant number, since it is smaller than the sum of its proper divisors (2760778535424).

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

1002401111040 is a wasteful number, since it uses less digits than its factorization.

1002401111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252043 (or 252025 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1002401111040 its reverse (401111042001), we get a palindrome (1403512153041).

The spelling of 1002401111040 in words is "one trillion, two billion, four hundred one million, one hundred eleven thousand, forty".