1960256471040 has 1216 divisors, whose sum is σ = 8202029713920. Its totient is φ = 434865438720.

The previous prime is 1960256470993. The next prime is 1960256471057. The reversal of 1960256471040 is 401746520691.

1960256471040 is a `hidden beast` number, since 1 + 96 + 0 + 2 + 56 + 471 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10156769184 + ... + 10156769376.

Almost surely, 2^{1960256471040} is an apocalyptic number.

1960256471040 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 1960256471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101014856960).

1960256471040 is an abundant number, since it is smaller than the sum of its proper divisors (6241773242880).

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

1960256471040 is an frugal number, since it uses more digits than its factorization.

1960256471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1960256471040 in words is "one trillion, nine hundred sixty billion, two hundred fifty-six million, four hundred seventy-one thousand, forty".