1022040120400 has 120 divisors (see below), whose sum is σ = 2650803141560. Its totient is φ = 376445214720.

The previous prime is 1022040120373. The next prime is 1022040120401. The reversal of 1022040120400 is 40210402201.

It can be written as a sum of positive squares in 12 ways, for example, as 320586969616 + 701453150784 = 566204^2 + 837528^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022040120401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1886524 + ... + 2367076.

Almost surely, 2^{1022040120400} is an apocalyptic number.

1022040120400 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 1022040120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325401570780).

1022040120400 is an abundant number, since it is smaller than the sum of its proper divisors (1628763021160).

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

1022040120400 is a wasteful number, since it uses less digits than its factorization.

1022040120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480993 (or 480982 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1022040120400 its reverse (40210402201), we get a palindrome (1062250522601).

The spelling of 1022040120400 in words is "one trillion, twenty-two billion, forty million, one hundred twenty thousand, four hundred".