40102776 has 144 divisors (see below), whose sum is σ = 131334840. Its totient is φ = 11430720.

The previous prime is 40102763. The next prime is 40102817. The reversal of 40102776 is 67720104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95046 + ... + 95466.

Almost surely, 2^40102776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40102776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65667420).

40102776 is an abundant number, since it is smaller than the sum of its proper divisors (91232064).

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

40102776 is a wasteful number, since it uses less digits than its factorization.

40102776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 40102776 is about 6332.6752640570. The cubic root of 40102776 is about 342.2878463072.

It can be divided in two parts, 4010 and 2776, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 40102776 in words is "forty million, one hundred two thousand, seven hundred seventy-six".