1021305450400 has 576 divisors, whose sum is σ = 2840650186752. Its totient is φ = 356462346240.

The previous prime is 1021305450323. The next prime is 1021305450401. The reversal of 1021305450400 is 40545031201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1021305450401) 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, 1867102927 + ... + 1867103473.

It is an arithmetic number, because the mean of its divisors is an integer number (4931684352).

Almost surely, 2^{1021305450400} is an apocalyptic number.

1021305450400 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 1021305450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420325093376).

1021305450400 is an abundant number, since it is smaller than the sum of its proper divisors (1819344736352).

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

1021305450400 is a wasteful number, since it uses less digits than its factorization.

1021305450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 1021305450400 in words is "one trillion, twenty-one billion, three hundred five million, four hundred fifty thousand, four hundred".