1019971249920 has 1152 divisors, whose sum is σ = 4245973401600. Its totient is φ = 227058204672.

The previous prime is 1019971249867. The next prime is 1019971249949. The reversal of 1019971249920 is 299421799101.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×1019971249920³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1586269119 + ... + 1586269761.

It is an arithmetic number, because the mean of its divisors is an integer number (3685740800).

Almost surely, 2^{1019971249920} is an apocalyptic number.

1019971249920 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 1019971249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122986700800).

1019971249920 is an abundant number, since it is smaller than the sum of its proper divisors (3226002151680).

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

1019971249920 is an equidigital number, since it uses as much as digits as its factorization.

1019971249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 1019971249920 in words is "one trillion, nineteen billion, nine hundred seventy-one million, two hundred forty-nine thousand, nine hundred twenty".