1000402331040 has 576 divisors, whose sum is σ = 3999343735296. Its totient is φ = 222985691136.

The previous prime is 1000402331023. The next prime is 1000402331041. The reversal of 1000402331040 is 401332040001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1000402331041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89212474 + ... + 89223686.

It is an arithmetic number, because the mean of its divisors is an integer number (6943305096).

Almost surely, 2^{1000402331040} is an apocalyptic number.

1000402331040 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 1000402331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999671867648).

1000402331040 is an abundant number, since it is smaller than the sum of its proper divisors (2998941404256).

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

1000402331040 is a wasteful number, since it uses less digits than its factorization.

1000402331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11461 (or 11450 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1000402331040 its reverse (401332040001), we get a palindrome (1401734371041).

The spelling of 1000402331040 in words is "one trillion, four hundred two million, three hundred thirty-one thousand, forty".