1021208408064 has 832 divisors, whose sum is σ = 3447926092800. Its totient is φ = 296322859008.

The previous prime is 1021208408047. The next prime is 1021208408081. The reversal of 1021208408064 is 4608048021201.

It is an interprime number because it is at equal distance from previous prime (1021208408047) and next prime (1021208408081).

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×1021208408064² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2942963539 + ... + 2942963885.

Almost surely, 2^{1021208408064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021208408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723963046400).

1021208408064 is an abundant number, since it is smaller than the sum of its proper divisors (2426717684736).

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

1021208408064 is a wasteful number, since it uses less digits than its factorization.

1021208408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1021208408064 in words is "one trillion, twenty-one billion, two hundred eight million, four hundred eight thousand, sixty-four".