1023752970240 has 2688 divisors, whose sum is σ = 4744160305920. Its totient is φ = 184968806400.

The previous prime is 1023752970223. The next prime is 1023752970313. The reversal of 1023752970240 is 420792573201.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1023752970192 and 1023752970201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24969584620 + ... + 24969584660.

It is an arithmetic number, because the mean of its divisors is an integer number (1764940590).

Almost surely, 2^{1023752970240} is an apocalyptic number.

1023752970240 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 1023752970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372080152960).

1023752970240 is an abundant number, since it is smaller than the sum of its proper divisors (3720407335680).

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

1023752970240 is a wasteful number, since it uses less digits than its factorization.

1023752970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 1023752970240 in words is "one trillion, twenty-three billion, seven hundred fifty-two million, nine hundred seventy thousand, two hundred forty".