40962687840 has 144 divisors (see below), whose sum is σ = 140280508368. Its totient is φ = 10884676608.

The previous prime is 40962687817. The next prime is 40962687863. The reversal of 40962687840 is 4878626904.

40962687840 is a `hidden beast` number, since 4 + 0 + 9 + 626 + 8 + 7 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40962687817) and next prime (40962687863).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357262 + ... + 457778.

It is an arithmetic number, because the mean of its divisors is an integer number (974170197).

Almost surely, 2^40962687840 is an apocalyptic number.

40962687840 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 40962687840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70140254184).

40962687840 is an abundant number, since it is smaller than the sum of its proper divisors (99317820528).

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

40962687840 is a wasteful number, since it uses less digits than its factorization.

40962687840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100821 (or 100810 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 40962687840 in words is "forty billion, nine hundred sixty-two million, six hundred eighty-seven thousand, eight hundred forty".