40210359871440 has 320 divisors, whose sum is σ = 136266192691200. Its totient is φ = 9727763220480.

The previous prime is 40210359871411. The next prime is 40210359871447. The reversal of 40210359871440 is 4417895301204.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40210359871440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40210359871447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3866747361 + ... + 3866757759.

It is an arithmetic number, because the mean of its divisors is an integer number (425831852160).

Almost surely, 2^{40210359871440} is an apocalyptic number.

40210359871440 is a gapful number since it is divisible by the number (40) 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 40210359871440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68133096345600).

40210359871440 is an abundant number, since it is smaller than the sum of its proper divisors (96055832819760).

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

40210359871440 is a wasteful number, since it uses less digits than its factorization.

40210359871440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13322 (or 13316 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 40210359871440 in words is "forty trillion, two hundred ten billion, three hundred fifty-nine million, eight hundred seventy-one thousand, four hundred forty".