1021030400000 has 576 divisors, whose sum is σ = 2810657215800. Its totient is φ = 370606080000.

The previous prime is 1021030399973. The next prime is 1021030400003. The reversal of 1021030400000 is 40301201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021030400003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17305599971 + ... + 17305600029.

Almost surely, 2^{1021030400000} is an apocalyptic number.

1021030400000 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 1021030400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405328607900).

1021030400000 is an abundant number, since it is smaller than the sum of its proper divisors (1789626815800).

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

1021030400000 is an frugal number, since it uses more digits than its factorization.

1021030400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1021030400000 its reverse (40301201), we get a palindrome (1021070701201).

The spelling of 1021030400000 in words is "one trillion, twenty-one billion, thirty million, four hundred thousand".