40962560000 has 130 divisors (see below), whose sum is σ = 102367530342. Its totient is φ = 16384000000.

The previous prime is 40962559991. The next prime is 40962560017. The reversal of 40962560000 is 6526904.

It can be written as a sum of positive squares in 5 ways, for example, as 8826978304 + 32135581696 = 93952^2 + 179264^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2552000 + ... + 2568000.

Almost surely, 2^40962560000 is an apocalyptic number.

40962560000 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 40962560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51183765171).

40962560000 is an abundant number, since it is smaller than the sum of its proper divisors (61404970342).

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

40962560000 is an frugal number, since it uses more digits than its factorization.

40962560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16045 (or 16008 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

It can be divided in two parts, 4096 and 2560000, that multiplied together give a 4-th power (10485760000 = 320⁴).

The spelling of 40962560000 in words is "forty billion, nine hundred sixty-two million, five hundred sixty thousand".