1973640037152 has 96 divisors (see below), whose sum is σ = 6046897231872. Its totient is φ = 551899332864.

The previous prime is 1973640037111. The next prime is 1973640037153. The reversal of 1973640037152 is 2517300463791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1973640037152² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1973640037153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31212718 + ... + 31275885.

It is an arithmetic number, because the mean of its divisors is an integer number (62988512832).

Almost surely, 2^{1973640037152} is an apocalyptic number.

1973640037152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1973640037152 is an abundant number, since it is smaller than the sum of its proper divisors (4073257194720).

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

1973640037152 is a wasteful number, since it uses less digits than its factorization.

1973640037152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62488670 (or 62488662 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 1973640037152 in words is "one trillion, nine hundred seventy-three billion, six hundred forty million, thirty-seven thousand, one hundred fifty-two".