1953404087040 has 720 divisors, whose sum is σ = 8335539007488. Its totient is φ = 427076001792.

The previous prime is 1953404087003. The next prime is 1953404087059. The reversal of 1953404087040 is 407804043591.

1953404087040 is a `hidden beast` number, since 1 + 9 + 534 + 0 + 4 + 0 + 8 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 16633969 + ... + 16750991.

Almost surely, 2^{1953404087040} is an apocalyptic number.

1953404087040 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 1953404087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167769503744).

1953404087040 is an abundant number, since it is smaller than the sum of its proper divisors (6382134920448).

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

1953404087040 is a wasteful number, since it uses less digits than its factorization.

1953404087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117086 (or 117063 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1953404087040 in words is "one trillion, nine hundred fifty-three billion, four hundred four million, eighty-seven thousand, forty".