40267628544 has 480 divisors, whose sum is σ = 133966175616. Its totient is φ = 10569646080.

The previous prime is 40267628537. The next prime is 40267628563. The reversal of 40267628544 is 44582676204.

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

It is a junction number, because it is equal to n+sod(n) for n = 40267628493 and 40267628502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119488344 + ... + 119488680.

Almost surely, 2^40267628544 is an apocalyptic number.

40267628544 is a gapful number since it is divisible by the number (44) 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 40267628544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66983087808).

40267628544 is an abundant number, since it is smaller than the sum of its proper divisors (93698547072).

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

40267628544 is a wasteful number, since it uses less digits than its factorization.

40267628544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 40267628544 in words is "forty billion, two hundred sixty-seven million, six hundred twenty-eight thousand, five hundred forty-four".