40370535406080 has 3360 divisors, whose sum is σ = 169032561223680. Its totient is φ = 9223107379200.

The previous prime is 40370535406079. The next prime is 40370535406099. The reversal of 40370535406080 is 8060453507304.

40370535406080 is a `hidden beast` number, since 4 + 0 + 3 + 7 + 0 + 5 + 35 + 4 + 0 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 511019435481 + ... + 511019435559.

It is an arithmetic number, because the mean of its divisors is an integer number (50307309888).

Almost surely, 2^{40370535406080} is an apocalyptic number.

40370535406080 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 40370535406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84516280611840).

40370535406080 is an abundant number, since it is smaller than the sum of its proper divisors (128662025817600).

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

40370535406080 is an equidigital number, since it uses as much as digits as its factorization.

40370535406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

It can be divided in two parts, 40370 and 535406080, that added together give a triangular number (535446450 = T₃₂₇₂₄).

The spelling of 40370535406080 in words is "forty trillion, three hundred seventy billion, five hundred thirty-five million, four hundred six thousand, eighty".