1405811046640 has 1200 divisors, whose sum is σ = 4686173208576. Its totient is φ = 388339660800.

The previous prime is 1405811046631. The next prime is 1405811046649. The reversal of 1405811046640 is 466401185041.

It is an interprime number because it is at equal distance from previous prime (1405811046631) and next prime (1405811046649).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1405811046593 and 1405811046602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405811046649) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11069378257 + ... + 11069378383.

Almost surely, 2^{1405811046640} is an apocalyptic number.

1405811046640 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 1405811046640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343086604288).

1405811046640 is an abundant number, since it is smaller than the sum of its proper divisors (3280362161936).

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

1405811046640 is a wasteful number, since it uses less digits than its factorization.

1405811046640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 1405811046640 in words is "one trillion, four hundred five billion, eight hundred eleven million, forty-six thousand, six hundred forty".