1962458979840 has 480 divisors, whose sum is σ = 7462915780320. Its totient is φ = 492536070144.

The previous prime is 1962458979773. The next prime is 1962458979841. The reversal of 1962458979840 is 489798542691.

1962458979840 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 458 + 97 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1962458979841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10482576 + ... + 10668144.

It is an arithmetic number, because the mean of its divisors is an integer number (15547741209).

Almost surely, 2^{1962458979840} is an apocalyptic number.

1962458979840 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 1962458979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731457890160).

1962458979840 is an abundant number, since it is smaller than the sum of its proper divisors (5500456800480).

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

1962458979840 is an equidigital number, since it uses as much as digits as its factorization.

1962458979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185624 (or 185596 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 1962458979840 in words is "one trillion, nine hundred sixty-two billion, four hundred fifty-eight million, nine hundred seventy-nine thousand, eight hundred forty".