1020742525440 has 1440 divisors, whose sum is σ = 4150474352640. Its totient is φ = 237584793600.

The previous prime is 1020742525417. The next prime is 1020742525457. The reversal of 1020742525440 is 445252470201.

1020742525440 is a `hidden beast` number, since 1 + 0 + 20 + 7 + 42 + 52 + 544 + 0 = 666.

1020742525440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 1020742525395 and 1020742525404.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8037342657 + ... + 8037342783.

It is an arithmetic number, because the mean of its divisors is an integer number (2882273856).

Almost surely, 2^{1020742525440} is an apocalyptic number.

1020742525440 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 1020742525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075237176320).

1020742525440 is an abundant number, since it is smaller than the sum of its proper divisors (3129731827200).

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

1020742525440 is a wasteful number, since it uses less digits than its factorization.

1020742525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

Adding to 1020742525440 its reverse (445252470201), we get a palindrome (1465994995641).

The spelling of 1020742525440 in words is "one trillion, twenty billion, seven hundred forty-two million, five hundred twenty-five thousand, four hundred forty".